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Simplifying ln(3k + -4) = 7 Reorder the terms: ln(-4 + 3k) = 7 (-4 * ln + 3k * ln) = 7 Reorder the terms: (3kln + -4ln) = 7 (3kln + -4ln) = 7 Solving 3kln + -4ln = 7 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4ln' to each side of the equation. 3kln + -4ln + 4ln = 7 + 4ln Combine like terms: -4ln + 4ln = 0 3kln + 0 = 7 + 4ln 3kln = 7 + 4ln Divide each side by '3ln'. k = 2.333333333l-1n-1 + 1.333333333 Simplifying k = 2.333333333l-1n-1 + 1.333333333 Reorder the terms: k = 1.333333333 + 2.333333333l-1n-1
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